Xe-124 an isotope of xenon has the highest half-life of 1.8 × 1022 yrs. Estimate the time it would take for a sample of Xe-124 to reach 10% of its current level.

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Xe-124 an isotope of xenon has the highest half-life of 1.8 × 1022 yrs. Estimate the time
it would take for a sample of Xe-124 to reach 10% of its current level.
Transcribed Image Text:Xe-124 an isotope of xenon has the highest half-life of 1.8 × 1022 yrs. Estimate the time it would take for a sample of Xe-124 to reach 10% of its current level.
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Concept and Principle:
  • When a nucleus becomes unstable it will undergo radioactive decay to attain a stable configuration. They do so by emitting radiation.

 

  • The rate of radioactive decay is called activity and the half-life is the time it takes for the activity to reduce by half in a radioactive sample.

 

  • Radioactive decay is exponential in nature and can be written as,

N=N0e0.693(tt12)

Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.

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